Add 7/16 and 42/49
7/16 + 42/49 is 145/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
7/16 = 7 × 49/16 × 49 = 343/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
42/49 = 42 × 16/49 × 16 = 672/784 - Add the two like fractions:
343/784 + 672/784 = 343 + 672/784 = 1015/784 - 1015/784 simplified gives 145/112
- So, 7/16 + 42/49 = 145/112
In mixed form: 133/112
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